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Four objects having varied masses are initially at rest at different heights above the ground. The masses and starting heights
are given in the table.
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Object Mass (kg)
A 0.125 1
B 0.689
C 0.752
D 0.562
Height (m)
A 25.0
B 10.3
C 21.9
D 27.1
Each mass is allowed to fall to the ground, and air resistance is negligible. Rank the kinetic energy and speed with which
each object hits the ground from highest to lowest.

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

Sound is a disturbance that travels through a medium as a

What is a view of science and psychology that says the value of knowledge depends on its usefulness? a. pragmatism b. psychotherapy c. physiology